Find the sum of $x^{3} - x^{2} y + 5 x y^{2} + y^{3}; - x^{3} + y^{3} - 9 x y^{2} and 3 x y^{2} + 9 x^{2} y .$

2 x^{3} + 8 x^{2} y - x y^{2} + 2 y^{3}

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8 x^{2} y - 2 x y^{2} + 3 y^{3}

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2 x^{3} + 8 x^{2} y + 2 y^{3}

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8 x^{2} y - x y^{2} + 2 y^{3}

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Solution

The correct option is D $8 x^{2} y - x y^{2} + 2 y^{3}$
Sum of the expressions =
$x^{3} - x^{2} y + 5 x y^{2} + y^{3} - x^{3} + y^{3} - 9 x y^{2} + 3 x y^{2} + 9 x^{2} y .$
Grouping the like terms together we get,
$= (x^{3} - x^{3}) + (- x^{2} y + 9 x^{2} y) + (5 x y^{2} - 9 x y^{2} + 3 x y^{2}) + (y^{3} + y^{3})$
$= 8 x^{2} y - x y^{2} + 2 y^{3}$ .

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Similar questions

x^{3} - x^{2} y + 5 x y^{2} + y^{3}, x^{3} - 9 x y^{2} + y^{3}

3 x^{2} y + 9 x y^{2}

x^{3} - x^{2} y + 5 x y^{2} + y^{3}, - x^{3} - 9 x y^{2} + y^{3}, 3 x^{2} y + 9 x y^{2}

2 x^{2} y + 5 x y^{2} + 2 y^{3}

Question 58 (c)

Subtract:

$- 4 x^{2} y - y^{3}$ from $x^{3} + 3 x y^{2} - x^{2} y .$

The expansion of ${(x + y)}^{3}$ is

The expansion of ${(x + y)}^{3}$ is $x^{3} + y^{3} + 3 x^{2} y - 3 x y^{2}$

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